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The world’s largest ocean, the Pacific Ocean, has an area of about 200,000,000 km2, which can be written as 2 × 10n km2. What is

Likurg_2 [28]

Answer:

10000000

Step-by-step explanation:

200000000/2 = 100000000

Then 100000000/10 = 10000000

3 0

3 years ago

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How many even numbers are greater than 202 and less than 405?

meriva

Answer:

203 numbers are between 202 and 405

Step-by-step explanation:

405 - 202 = 203

3 0

4 years ago

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The measures of two complementary angles are complementary angles are in the ratio 1:3. What are the measures of the angles?

djverab [1.8K]

Answer:

Therefore the measures of the angles are 22.5° and 67.5°.

Step-by-step explanation:

Complementary Angles:

Two angles are Complementary when they add up to 90 degrees.

Example 40° and 50° are Complementary Angles.

If 'x' and 'y' are Complementary Angles the we have

$x+y=90\°$

Here,

Let the common multiple be 'x '

Then the the Complementary Angles will be 'x' and '3x'.

$x+3x=90$ ....property of Complementary Angles.

Solving the equation we get

$4x=90\\\\x=\dfrac{90}{4}=22.5$

Substituting 'x' values we get

x= 22.5°

3x = 3 × 22.5 = 67.5°

Therefore the measures of the angles are 22.5° and 67.5°.

4 0

3 years ago

Linda has d dollars in an account that pays 1.4% interest, compounded weekly. She withdraws w dollars. Express her first week’s

Fittoniya [83]

Answer:

If the 1.4% rate of interest is the weekly rate of interest, Then, total first week interest = 1.4(d - w)/100 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate of interest compounded weekly, then her total first week interest = 7(d - w)/2600 = 0.00269 (d - w)

Step-by-step explanation:

The interest, I = PRT

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/week

T = time = 1 week

If the 1.4% rate of interest is the weekly rate of interest

I = PRT = (d - w) × 0.014 × 1 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate if interest compounded weekly,

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/year

T = time = 1 week = (1/52) years

I = PRT = (d - w) × 0.014 × (1/52) = 7(d - w)/2600 = 0.00269 (d - w)

Hope this Helps!!!

7 0

4 years ago

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A lake was stocked with 360 trout. Each year, the population decreases by 10. The population of trout in

almond37 [142]

Answer:

Part A) The y-intercept is the point (0,360) and the x-intercept is the point (36,0)

Part B) The graph in the attached figure

Part C) see the explanation

Step-by-step explanation:

Part A) Find the intercepts

Let

x ----> the number of years

f(x) ----> the population of trout in the lake

we have

$f(x)=360-10x$

This is a linear function in slope intercept form

$f(x)=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

$m=-10\ \frac{trout}{year}$ ---> is negative because is a decreasing function

$b=360\ trouts$ ---> initial value

The y-intercept is the point (0,360)

<em>Find the x-intercept</em>

The x-intercept is the value of x when the value of f(x) is equal to zero

so

For f(x)=0

$0=360-10x$

Solve for x

$10x=360\\x=36$

The x-intercept is the point (36,0)

Part B) Graph the function

Plot the intercepts and join the points to graph the line

see the attached figure

Part C) Complete the interpretation of the intercepts

The x-intercept is the value of x when the value of f(x) is equal to zero

In this context, the x-intercept is the number of years, when the population of trouts is equal to zero

so

In 36 years, the population of trouts will be equal to zero

The y-intercept is the value of f(x) when the value of x is equal to zero

In this context, the y-intercept is the population of trouts when the number of years is equal to zero

so

Initially the population of trouts in the lake was 360 trouts

5 0

4 years ago